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MINIMUM DISTANCE and INDUCED STATISTICS FOR TESTING INEQUALITIES
Author(s) -
Rogers Alan J.
Publication year - 1989
Publication title -
australian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.434
H-Index - 41
eISSN - 1467-842X
pISSN - 0004-9581
DOI - 10.1111/j.1467-842x.1989.tb00498.x
Subject(s) - statistics , intersection (aeronautics) , mathematics , multivariate statistics , inequality , population , geography , mathematical analysis , medicine , cartography , environmental health
summary Minimum distance statistics for testing inequality restrictions on the mean vector of a multivariate normal population are considered and are shown to be equivalent to certain induced (or intersection) test statistics. Tests based on these statistics are shown to be admissible.